Question

Enrique is given information about a satellite orbiting earth. r = 3.8 × 108 m t = 18 days in order to calculate the tangential speed of the satellite, what should enrique do first?

Answer 1

Answer

Angular velocity, ω.

Explanation

When given the period and the radius, for you to find the linear velocity or so called tangential speed(V), you have to calculate the angular velocity.

Angular velocity(ω) is the rate of change of angular displacement.

ω = 2πf

where f is the frequency.

f = 1/T where T is the period.

T = 28 days.

r = 3.8 × 10⁸ m

V = ωr

tangential speed, V, is the product of angular velocity, ω, and the radius,r.

Answer 2

Tangential speed, just as any other speed, is calculated by dividing the distance traveled by the time or duration. From the given above, the very first thing that needs to be done is to calculate for the circumference through the equation,
                                            C = 2πr
Substituting,
                                            C = 2π(3.8 x 10⁸) = 2.388 x 10⁹ m
Then, divide this value by the time, 18 days,
                                              rate = 1.326 x 10⁷ m/days